Curves, Knots, Hilbert Schemes, and the Hitchin System

VIVEK Shende
Unpublished research proposal (NSF Award Abstract# 1406871). https://math. berkeley. edu/~ vivek/statement. pdf

2
2013
THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT

Vivek Shende
Forum of Mathematics, Pi 7

5
2019
A short proof of the Göttsche conjecture

Martijn Kool , Vivek Shende , Richard P Thomas
Geometry & Topology 15 ( 1) 397 -406

71
2011
Equidistribution in Bun2(P1)

Jacob Tsimerman , Vivek Shende
Duke Mathematical Journal 166 ( 18) 3461 -3504

5
2017
Cluster varieties from Legendrian knots

David Treumann , Harold Williams , Eric Zaslow , Vivek Shende
Duke Mathematical Journal 168 ( 15) 2801 -2871

22
2019
A support theorem for Hilbert schemes of planar curves

Luca Migliorini , Vivek Shende
Journal of the European Mathematical Society 15 ( 6) 2353 -2367

47
2013
Refined curve counting on complex surfaces

Lothar Göttsche , Vivek Shende
Geometry & Topology 18 ( 4) 2245 -2307

37
2014
Augmentations are Sheaves

Steven Sivek , Lenhard Ng , Eric Zaslow , Vivek Shende
Geometry & Topology 24 ( 5) 2149 -2286

2
2020
A support theorem for Hilbert schemes of planar curves, II

Luca Migliorini , Filippo Viviani , Vivek Shende
Compositio Mathematica 157 ( 4) 835 -882

2021
The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link

Alexei Oblomkov , Jacob Rasmussen , Vivek Shende
Geometry & Topology 22 ( 2) 645 -691

60
2018
Torus knots and the rational DAHA

Eugene Gorsky , Alexei Oblomkov , Jacob Rasmussen , Vivek Shende
Duke Mathematical Journal 163 ( 14) 2709 -2794

72
2014
Legendrian knots and constructible sheaves

Vivek Shende , David Treumann , Eric Zaslow
Inventiones Mathematicae 207 ( 3) 1031 -1133

44
2017
A complete knot invariant from contact homology

Tobias Ekholm , Lenhard Ng , Vivek Shende
Inventiones Mathematicae 211 ( 3) 1149 -1200

24
2018
Ghost bubble censorship

Tobias Ekholm , Vivek Shende
arXiv preprint arXiv:2212.05835

2022
Skeins on branes

Tobias Ekholm , Vivek Shende
arXiv preprint arXiv:1901.08027

30
2019
Colored HOMFLYPT counts holomorphic curves

Tobias Ekholm , Vivek Shende
arXiv preprint arXiv:2101.00619

7
2021
Counting bare curves

Tobias Ekholm , Vivek Shende
arXiv preprint arXiv:2406.00890

6
2024
Skein recursion for holomorphic curves and invariants of the unknot

Tobias Ekholm , Vivek Shende
arXiv preprint arXiv:2012.15366

6
2020
Quiver Hecke algebras from Floer homology in Couloumb branches

Mina Aganagic , Ivan Danilenko , Yixuan Li , Vivek Shende
arXiv preprint arXiv:2406.04258

2024
The chi-y genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces

Lothar Göttsche , Vivek Shende
arXiv preprint arXiv:1307.4316

17
2013